On Waves and Distributions in Population Dynamics

We discuss dynamics of spatially distributed interacting populations. The following two cases are discussed: (I.) migration waves for the case or negligible random fluctuations of the populations densities and (II.) probability distributions of the spatially averaged populations densities for the ca...

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Bibliographic Details
Main Authors: Nikolay Kolev Vitanov, Zlatinka Ivanova Dimitrova
Format: Article
Language:English
Published: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics 2012-09-01
Series:Biomath
Subjects:
Online Access:http://www.biomathforum.org/biomath/index.php/biomath/article/view/13
Description
Summary:We discuss dynamics of spatially distributed interacting populations. The following two cases are discussed: (I.) migration waves for the case or negligible random fluctuations of the populations densities and (II.) probability distributions of the spatially averaged populations densities for the case of significant random fluctuations of these densities. For each of the cases we obtain in general a system of differential equations that is treated analytically (when possible) or numerically. The obtained results are discussed from the point of view of population dynamics.
ISSN:1314-684X
1314-7218